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		<a class="header-logo header-affix-hide margin-left-no margin-right-no" data-offset-top="213" data-spy="affix">[Codeforces Round #250]小朋友和二叉树</a>
		<span class="header-logo header-affix margin-left-no margin-right-no" data-offset-top="213" data-spy="affix">[Codeforces Round #250]小朋友和二叉树</span>
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                [Codeforces Round #250]小朋友和二叉树                </h1>
                <p>时间限制：40s&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;  空间限制：256MB</p>			</div>
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                                <h3>题目描述</h3><p><p><span style="font-size: medium">我们的小朋友很喜欢计算机科学，而且尤其喜欢二叉树。<br />
考虑一个含有n个互异正整数的序列c[1],c[2],...,c[n]。如果一棵带点权的有根二叉树满足其所有顶点的权值都在集合{c[1],c[2],...,c[n]}中，我们的小朋友就会将其称作神犇的。并且他认为，一棵带点权的树的权值，是其所有顶点权值的总和。<br />
给出一个整数m，你能对于任意的s(1&lt;=s&lt;=m)计算出权值为s的神犇二叉树的个数吗？请参照样例以更好的理解什么样的两棵二叉树会被视为不同的。<br />
我们只需要知道答案关于998244353(7*17*2^23+1,一个质数)取模后的值。<br />
</span></p></p><hr/><h3>输入格式</h3><p><p><font size="4">第一行有2个整数 n,m(1&lt;=n&lt;=10^5; 1&lt;=m&lt;=10^5)。<br />
第二行有n个用空格隔开的互异的整数 c[1],c[2],...,c[n]（1&lt;=c[i]&lt;=10^5)。<br />
</font></p></p><hr/><h3>输出格式</h3><p><p><font size="4">输出m行，每行有一个整数。第i行应当含有权值恰为i的神犇二叉树的总数。请输出答案关于998244353(=7*17*2^23+1,一个质数)取模后的结果。<br />
</font></p></p><hr/><h3>样例输入</h3><pre>样例一：
2 3
1 2
样例二：
3 10
9 4 3
样例三：
5 10
13 10 6 4 15
</pre><hr/><h3>样例输出</h3><pre>样例一：
1
3
9
样例二：
0
0
1
1
0
2
4
2
6
15
样例三：
0
0
0
1
0
1
0
2
0
5
</pre><hr/><h3>提示</h3><p><p>对于第一个样例，有9个权值恰好为3的神犇二叉树：<br />
<img height="432" alt="" width="819" src="../file/3625_0.jpg" /></p></p><hr/><h3>题目来源</h3><p>VFleaKing & pyx1997 感谢wyl8899提供中文翻译
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